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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 47, page id 834940469:0055
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=55
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000055.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

AETC MeNSuTAM (pAEII TIMK. PrOdUCANEUFFCCTCTK. OL, e
AUICACUE rECtA IP, VE COpLCaNEUE rECtaNSULA L. NHM, OIKM;
manifectum est rectangulum LNKM esse 900000000000-
00000000000000OIK11 9000000000000000000000.
000e crapeZIU LIKM esse medium axichmericum inter
Praedicca rectansula, hoc est 4950000000000000000000
0000. InveHIAEUT INCCE LCCTANSULA L. NAM, QIKM, medium
seomeericit 2846049894 15+5413987990042 guodcric pen
casonu spatio tixperbolico LIKM regulariter circuseripeuo
SIEq; VE ErAPCZIULIMM vna cum dicto pentagono circum.
seripeo ad dictum peneagonum, ied duplum dicti pentasone
adhezagonu spario hyperbolico LIIM regulariter inlcrip.
Eum, neDC 25779754131836628160009835; 9u0d hCxag0-
num erit polygonum complicarum cum praedicto penrago-
10; quae duo rectilinca efficiane primos serici cerminos con-
MergenceS: inter quae sicmedium geometrieum cuius qua-
draci duplum diuidatur per isem medium geomerricurna
cum maiori cermino scu pentasono circum seripto; cruntq;
medium geometricum de quocus, secunditermini converge-
ces: aeque ica continueeur lerieshaec conversens polygono-
rum complicatorum, donec medietas primanorarum eadem
Ecin veroquetermino conversente nempe ad cerminit vi-
selimu; polygonum enim circum Ecripeum elt 220258509.
29958962534172864. _ inscripcum 23025850929937203
59318+124: adhibeatur deinde adproximacio in huius 23 ec
24 demonserata, _ inveniencur terminiinera, quos coniltie
vera spaciihy perbolici LIIIMmentura, nempe 230258509
2994045624017868r, minor (patio, et 230258509299404
56240178704 eodemmaior, Xe ideo non larec sparii inentu-
ra, quam invenire operruic: totam poly sohoruin seriemhie
apponovna cum numero rectarum curuam lyperholicam
subcendencium in rnoquoque polysone cireumlexipto.
LXCHa